Traveling Wave Solutions for the FitzHugh-Nagumo Model

In this study, it is aimed to obtain traveling wave solutions of the FitzHugh-Nagumo model, which is widely used in neuroscience. In this context, the solutions are analytically derived by employing the modified 1/G'-expansion method. Through this approach, hyperbolic-type wave solutions are obtained, demonstrating that the applied method provides an effective and reliable analytical framework for solving nonlinear partial differential equations. The dynamic behaviors of the obtained solutions are numerically investigated and visualized using three-dimensional, two-dimensional and contour plots.

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Publication Details

Journal
Journal of studies in advanced technologies.
Published
2026-09-17
DOI
https://doi.org/10.63063/jsat.1916554
Primary Topic
Nonlinear Waves and Solitons
Type
article
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Traveling Wave Solutions for the FitzHugh-Nagumo Model

Hülya Durur
Journal of studies in advanced technologies.
Nonlinear Waves and Solitons
article

Traveling Wave Solutions for the FitzHugh-Nagumo Model

Hülya Durur
article en

Abstract

In this study, it is aimed to obtain traveling wave solutions of the FitzHugh-Nagumo model, which is widely used in neuroscience. In this context, the solutions are analytically derived by employing the modified 1/G'-expansion method. Through this approach, hyperbolic-type wave solutions are obtained, demonstrating that the applied method provides an effective and reliable analytical framework for solving nonlinear partial differential equations. The dynamic behaviors of the obtained solutions are numerically investigated and visualized using three-dimensional, two-dimensional and contour plots.

Journal of studies in advanced technologies.Vol. 4(2)
Ardahan University (TR)
Openalex Percentile: Top 10%
Nonlinear Waves and Solitons
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